Level 3 BLAS
Most of the Level 3 BLAS is derived from GEMM, so that is the primary focus of the optimization.
- operations vs. data
The intuition that the operations will dominate over the data accesses only works for roughly square matrices. The real measure should be some kind of surface area to volume. The difference becomes important for very non-square matrices.
Read more about this topic: Automatically Tuned Linear Algebra Software
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“For him nor deep nor hill there is,
But alls one level plain he hunts for flowers.”
—Unknown. The Thousand and One Nights.
AWP. Anthology of World Poetry, An. Mark Van Doren, ed. (Rev. and enl. Ed., 1936)